Question

因式分解4x²—48xy+144y²+x²—6y+x—6xy

Answer 1

4x² - 48xy + 144y² + x² - 6y + x - 6xy

= (4x² - 48xy + 144y²) + (x² - 6y + x - 6xy)

= 4(x² - 12xy + 6²y²) + (x² - 6y + x - 6xy)

= 4(x - 6y)² + [(x - 6y) + x(x - 6y)]

= 4(x - 6y)² + (x - 6y)(1 + x)

= (x - 6y)[4(x - 6y) + (1 + x)]

= (x - 6y)(4x - 24y + 1 + x)

= (x - 6y)(5x - 24y + 1)